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Square challenge (Posted on 20040120) 

Find the smallest number that can be expressed as the sum of two (nonzero) perfect squares in two different ways.
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And what if the two perfect squares must be nonzero, positive, and different?

Submitted by SilverKnight

Rating: 2.0000 (2 votes)


Solution:

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The answer to the first question is 50:
50 = 5² + 5² = 1² + 7²
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The answer to the second question is 65:
65 = 1² + 8² = 4² + 7² 
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